# Shape and Space is all about the mathematical side of triangles, squares and that Pythagoras man.

These topics are for GCSE Maths Level.

You'll learn; Area, Volume, Circumference, Symmetry, Reflections, Translations, 3D Shapes, Plans, Elevations, Angles, Coordinates, Rotations, Pythagoras Theorem, Trigonometry, Vectors and other clever stuff.

## Top Questions

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### What are the 3D shapes?

By Ryan McGuire on the 10th of January, 2013

## Topics

 Use trigonometry in three dimensions A* Understand the graphs of trigonometric functions for angles of any size A* Find the volume of the frustum of a truncated cone A* Solve vector geometry problems A* Calculate the length of an arc and the area of a sector and a segment of a circle A Calculate the surface areas of cylinders, cones and spheres A Calculate the volumes of cylinders, cones and spheres A Prove and use the circle theorems A Enlarge a shape by a negative scale factor A Solve problems involving the enlargement of areas and volumes A Solve vector geometry problems by adding, subtracting or multiplying with vectors A Use congruent triangles to solve problems and to provide proofs A Use Pythagoras theorem in 3-D problems A Use the cosine rule in any triangle A Use the sine rule in any triangle A Work out the area of a triangle using sin A Calculate angles where circles are involved B Discuss and interpret graphs modelling real situations B Interpret velocity-time graphs B Solve problems involving similar triangles B Calculate the distance between two points using their coordinates B Use sin, cos and tan in a right-angled triangle B Convert between different units of area and volume C Calculate the volume of prisms and cylinders C Solve problems involving perimeters and areas of circles C Solve problems involving surface areas of prisms and cylinders C Classify a quadrilateral by its geometric properties C Solve problems using angle and symmetry properties of polygons C Understand and use coordinates in three dimensions C Find the midpoint of a line segment C Transform shapes by a combination of translation, reflection and rotation and know that area and angles are unchanged C Describe fully, and carry out reflections in lines and rotations about any point C Reflect shapes in the lines y = x and y = -x C Translate a shape by a vector C Enlarge a shape by any positive scale factor C Calculate average speeds from distance-time graphs C Understand and use compound measures such as speed and density C Prove that angles in a triangle add up to 180 degrees C Use Pythagoras theorem in practical problems C Use Pythagoras theorem C Solve loci problems C Construct an accurate locus C Carry out accurate constructions, using ruler and compass C Find the area and perimeter of compound shapes D Calculate the area of a circle D Calculate the circumference of a circle D Find the area of a triangle, parallelogram, kite and trapezium D Draw and interpret maps and scale drawings D Reflect shapes in lines such as x = 2 or y = -1 D Identify reflection symmetry in 3-D shapes D Translate a shape using directions D Enlarge a shape by a positive integer scale factor D Solve problems using bearings D Solve problems using the properties of intersecting and parallel lines D Draw a quadrilateral such as a kite or a parallelogram with given measurements D Construct and recognise the nets of 3-D shapes such as pyramids and triangular prisms D Draw plans and elevations of 3-D shapes D

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### what is pi?

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### What are the 3D shapes?

By Ryan McGuire on the 10th of January, 2013

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### What is the equation for circumference of a circle?

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